Question

write the quadratic equation is alpha + beta is equal to 9 and alpha X beta is equal to 20

Answer 1

Answer:

ax^2 -9x +20 =O

Step-by-step explanation:

Let ax^2+bx+c=0

Given:

alpha + beta=9

alpha xbeta=20

ax^2-(sum of roots) x +(Product of roots)=0

=) ax^2 -9x +20=0

Answer 2

The quadratic equation is $x^{2} -9x+20=0.$

Step-by-step explanation:

Let the two roots of quadratic equation = α and β

Given,

$\alpha+\beta=9$ and $\alpha\beta=20$   ...(1)

To find, the quadratic equation = ?

If the two roots of quadratic equation= α and β

The quadratic equation,

$x^{2} -(\alpha+\beta)x+(\alpha\beta)=0$

Using (1), we get

$x^{2} -9x+20=0$

Hence, the quadratic equation is $x^{2} -9x+20=0.$